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638470651104 = 253311137965413
BaseRepresentation
bin10010100101001111101…
…00001111110011100000
32021001000010011121201000
421102213310033303200
540430041441313404
61205150453512000
764061616663456
oct11224764176340
92231003147630
10638470651104
11226857046130
12a38a6642600
1348290c12ca0
1422c8b6ac9d6
151191c45e339
hex94a7d0fce0

638470651104 has 384 divisors, whose sum is σ = 2215493683200. Its totient is φ = 176329820160.

The previous prime is 638470651099. The next prime is 638470651153. The reversal of 638470651104 is 401156074836.

638470651104 is a `hidden beast` number, since 6 + 3 + 8 + 470 + 65 + 110 + 4 = 666.

638470651104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 638470651104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9727902 + ... + 9793314.

It is an arithmetic number, because the mean of its divisors is an integer number (5769514800).

Almost surely, 2638470651104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 638470651104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107746841600).

638470651104 is an abundant number, since it is smaller than the sum of its proper divisors (1577023032096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

638470651104 is a wasteful number, since it uses less digits than its factorization.

638470651104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65535 (or 65521 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 638470651104 in words is "six hundred thirty-eight billion, four hundred seventy million, six hundred fifty-one thousand, one hundred four".